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Bulletin of the American Mathematical Society

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The duality operation in the character ring of a finite Chevalley group


Author: Dean Alvis
Journal: Bull. Amer. Math. Soc. 1 (1979), 907-911
MSC (1970): Primary 20C15
DOI: https://doi.org/10.1090/S0273-0979-1979-14690-1
MathSciNet review: 546315
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References [Enhancements On Off] (What's this?)

  • 1. A. Borel and J. Tits, Groupes reductifs, Inst. Hautes Etudes Sci. Publ. Math. 27 (1965), 55-151. MR 207712
  • 2. C. W. Curtis, The Steinberg character of a finite group with a (B, N)-pair, J. Algebra 4 (1966), 433-441. MR 201524
  • 3. C. W. Curtis, Reduction theorems for characters of finite groups of Lie type, J. Math. Soc. Japan 27 (1975), 666-688. MR 399282
  • 4. Charles W. Curtis, Truncation and duality in the character ring of a finite group of Lie type, J. Algebra 62 (1980), no. 2, 320–332. MR 563231, https://doi.org/10.1016/0021-8693(80)90185-4
  • 5. P. Deligne and G. Lusztig, Representations of reductive groups over finite fields, Ann. of Math. 103 (1976), 103-161. MR 393266
  • 6. T. A. Springer, A formula for the characteristic function of the unipotent set of a finite Chevalley group (to appear).

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DOI: https://doi.org/10.1090/S0273-0979-1979-14690-1

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